A test to detect an infection gives a positive result 98% of the time if a person is infected, and it is 97% accurate for people who are not infected. What percentage of results will be false negatives?

a) 1%

b) 2%

c) 3%

d) 5%

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Mathematics

25 December, 06:49

A test to detect an infection gives a positive result 98% of the time if a person is infected, and it is 97% accurate for people who are not infected. What percentage of results will be false negatives?

a) 1%

b) 2%

c) 3%

d) 5%

+2

Answers (1)

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Jonathon Sloan · Answer 1

The answer is c.) 2%. Since the question is talking about false negatives, meaning the chance that the results are false, then we take a look at the 98% which represents the chance of giving an accurate result for the people who are not infected meaning for those who are positive. Thus, the answer is 2% because this is the remaining percentage if 100-98%.

A test to detect an infection gives a positive result 98% of the time if a person is infected, and it is 97% accurate for people who are not infected. What percentage of results will be false negatives?a) 1%b) 2%c) 3%d) 5%

A test to detect an infection gives a positive result 98% of the time if a person is infected, and it is 97% accurate for people who are not infected. What percentage of results will be false negatives?

a) 1%

b) 2%

c) 3%

d) 5%